DISTRIBUTIVE LATTICES WHOSE CONGRUENCE LATTICE IS STONE
Acta mathematica Universitatis Comenianae, Tome 64 (1995) no. 2
Z. Heleyova. DISTRIBUTIVE LATTICES WHOSE CONGRUENCE LATTICE IS STONE. Acta mathematica Universitatis Comenianae, Tome 64 (1995) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1995_64_2_a8/
@article{AMUC_1995_64_2_a8,
     author = {Z. Heleyova},
     title = {DISTRIBUTIVE {LATTICES} {WHOSE} {CONGRUENCE} {LATTICE} {IS} {STONE}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1995},
     volume = {64},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1995_64_2_a8/}
}
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Voir la notice de l'article provenant de la source Comenius University

Using Priestley's topological duality we characterize bounded distributive lattices with ($L_n$)- and relative ($L_n$)-congruence lattices. In particular, characterizations of bounded distributive lattices with Stone and relative Stone congruence lattices are obtained. Using these descriptions we derive some results of Ref. 8, Ref. 9 Ref. 5 and Ref. 6. In the last section we discuss questions concerning the relation between completeness of a bounded distributive lattice and its minimal Boolean completition. This is connected with a problem of D. Thomas Ref. 9.